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siddhartha-gadgil.github.io | ||
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www.jeremykun.com
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| | | | | The First Isomorphism Theorem The meat of our last primer was a proof that quotient groups are well-defined. One important result that helps us compute groups is a very easy consequence of this well-definition. Recall that if $ G,H$ are groups and $ \varphi: G \to H$ is a group homomorphism, then the image of $ \varphi$ is a subgroup of $ H$. Also the kernel of $ \varphi$ is the normal subgroup of $ G$ consisting of the elements which are mapped to the identity under $ \varphi$. | |
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cronokirby.com
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| | | | | Exploring 3 different ways of encoding the natural numbers - Read more: https://cronokirby.com/posts/2020/08/encoding-the-naturals/ | |
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terrytao.wordpress.com
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| | | | | One of the most notorious problems in elementary mathematics that remains unsolved is the Collatz conjecture, concerning the function $latex {f_0: {\bf N} \rightarrow {\bf N}}&fg=000000$ define... | |
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www.jeremykun.com
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| | | Machine learning is broadly split into two camps, statistical learning and non-statistical learning. The latter we've started to get a good picture of on this blog; we approached Perceptrons, decision trees, and neural networks from a non-statistical perspective. And generally "statistical" learning is just that, a perspective. Data is phrased in terms of independent and dependent variables, and statistical techniques are leveraged against the data. In this post we'll focus on the simplest example of thi... | ||
